VeraCrypt Volume Format Specification:
Each VeraCrypt volume contains an embedded backup header, located at the end of the volume (see above). The header backup is not a copy of the volume header because it is encrypted with a different header key derived using a different salt (see the section Header Key Derivation, Salt, and Iteration Count).
It may be possible to recover the encryption key. You might try asking on VeraCrypt forums/mailing lists or contacting a commercial data recovery service which understands VeraCrypt. Though I’m not familiar with VeraCrypt so I may be misunderstanding the cited documentation.
And 99.135% of scientific papers were checked by a spell checker. This is such a non-issue. Overleaf has AI built in to help with wording; a reviewer recommended I run my paper through AI to improve it. AI is tool like any other and there’s nothing wrong with using it.